What is the value of the expression simplified in Standard Notation: (3.2×10^−2)(4.2×10^6)/(5.2×10^5)

Answer 1

To simplify the expression, we first need to perform the multiplication in the numerator and the division by the denominator.

(3.2 × 10^-2)(4.2 × 10^6) = (3.2 × 4.2) × 10^(-2 + 6) = 13.44 × 10^4

Now divide by 5.2 × 10^5:

(13.44 × 10^4) / (5.2 × 10^5) = (13.44 / 5.2) × 10^(4-5) = 2.57 × 10^(-1)

Therefore, the value of the expression simplified in standard notation is 2.57 × 10^-1.